Mixed moment of $GL(2)$ and $GL(3)$ $L$-functions

Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1

Let $\mathfrak{f}$ run over the space $H_{4k}$ of primitive cusp forms of level one and weight $4k$, $k\in N$. We prove an explicit formula for the mixed moment of the Hec…